Q: What happens to the shape of an ellipse when the denominators are the same?

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It stays the same. Only the numerators change.

Not always but they need to have the same denominators when adding or subtracting them.

you must make the denominators the same first in order to add them once they are added, the denominators stay the same and the top combines

The fractions are re-scaled so that the denominators are the same and then the numerators are subtracted as required by the signs.

Yes. When multiplying and dividing fractions your denominators do not have to be the same. The denominators only haveto be the same if you are subtracting or adding them.

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Both foci of any ellipse are always in the same plane.If they're both at the same point, then the ellipse is a circle.

It is called an oval - which is not the same as an ellipse.

An ellipse is a shape on which the sum of the distances from every point to two points inside called the foci (focuses) is always the same number. A circle is an ellipse with both foci (focuses) at the same point.

It stays the same. Only the numerators change.

They are the same denominators.

The planets orbit in an ellipse. An ellipse is described as a geometric shape where the sum of the distance from the foci at any point is the same. An ellipse has three main points. Two foci and a center like a circle. While a true circle has all its external points equidistant from its center, an ellipse measures its points from the foci, which are equidistant to the center point at on both sides. The planets ellipse is closer to a circle than an all out ellipse, however, the orbit is still a true ellipse. It is also true that the shape of a planet's orbit (an ellipse) is a conic section, i.e. the intersection of a right circular cone where the intersecting plane is not perpendicular to the cone's axis, but less than being parallel to one of the cone's nappes.

Not always but they need to have the same denominators when adding or subtracting them.

An oval is a general word that could have different shapes. If you squash a circle evenly, the new shape in math is called an ellipse, which has an oval shape. The formula for the area of a circle is Pi times the Radius of the circle squared. The radius is half the height of the circle and also half the width of the circle. The general formula for the area of an ellipse is Pi times half the height times half the width. So we say length A is half the height of an ellipse and length B is half the width of an ellipse. When A is equal to B you have a circle. When they are different you have an ellipse. So if you want the area of the circle to be the same as the area of the ellipse, then you have to keep the height times the width the same for the ellipse as it was for the circle. As you squash the ellipse further the width must stretch out more than the height gets pushed down. For example, a circle with radius of 1 inch would have the same area as an ellipse with height ½ inch and width 2 inches because 1 times 1 is equal to ½ times 2. Another ellipse with the same area could have height ¼ inch and width 4 inches.

An ellipse is a two dimensional shape, so it does not have a "surface area", only an "area". Any ellipse has two radii, the major one and the minor one. We'll call them R1 and R2. The area of the ellipse then can be calculated with the function: a = πR1R2 You will notice that this is the same equation as the area for a circle. The circle is a special case though, because it is an ellipse in which both axes are the same length. In that case, R1 equals R2, so we can simply call it r and say: a = πr2

The LCD of two fractions is the same as the LCM of their denominators.

Common multiples and common denominators can be found using the same process. They differ in their function. Common denominators are common multiples that are functioning as denominators.

you must make the denominators the same first in order to add them once they are added, the denominators stay the same and the top combines